How do you solve the inequality #abs(1-2x)>=x+5# and write your answer in interval notation? Algebra Linear Inequalities and Absolute Value Absolute Value Inequalities 1 Answer ali ergin Mar 21, 2017 #"Solution :"{-4/3>=x" , "x>=6}# Explanation: #"Solution for " -(1-2x)>=x+5 # #-1+2x>=x+5# #2x-x>=5+1# #x>=6# #"Solution for " +(1-2x)>=x+5# #1-2x>=x+5# #1-5>=x+2x# #-4>=3x# #-4/3>=x# Answer link Related questions How do you solve absolute value inequalities? When is a solution "all real numbers" when solving absolute value inequalities? How do you solve #|a+1|\le 4#? How do you solve #|-6t+3|+9 \ge 18#? How do you graph #|7x| \ge 21#? Are all absolute value inequalities going to turn into compound inequalities? How do you solve for x given #|\frac{2x}{7}+9 | > frac{5}{7}#? How do you solve #abs(2x-3)<=4#? How do you solve #abs(2-x)>abs(x+1)#? How do you solve this absolute-value inequality #6abs(2x + 5 )> 66#? See all questions in Absolute Value Inequalities Impact of this question 1196 views around the world You can reuse this answer Creative Commons License